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Finding the Fourth Proportional to 142,161.60, 213,472.80 and 102,993.60

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Solution

The fourth proportional to 142,161.60, 213,472.80 and 102,993.60 is: 154,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161.60 : 213,472.80 = 102,993.60 : x
  2. Step 2: Convert to fraction form
    142,161.60/213,472.80 = 102,993.60/x
  3. Step 3: Cross multiply
    142,161.60x = 213,472.80 × 102,993.60
  4. Step 4: Simplify right side
    142,161.60x = 21,986,332,174.08
  5. Step 5: Solve for x
    x = 21,986,332,174.08/142,161.60
  6. Step 6: Final answer
    x = 154,657.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.